Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{4{x}^{3}}{(4{x}^{2} - 9*7*7)}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4x^{3}}{(4x^{2} - 441)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{4x^{3}}{(4x^{2} - 441)}\right)}{dx}\\=&4(\frac{-(4*2x + 0)}{(4x^{2} - 441)^{2}})x^{3} + \frac{4*3x^{2}}{(4x^{2} - 441)}\\=&\frac{-32x^{4}}{(4x^{2} - 441)^{2}} + \frac{12x^{2}}{(4x^{2} - 441)}\\ \end{split}\end{equation} \]





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